Responses of Bilinear and Impacting Systems Subjected to Regular Waves

Abstract: The dynamic responses of bilinear and impacting oscillators subjected to harmonic loadings are investigated. Differing from previous studies in which bifurcation diagrams were developed by having the frequency ratio of excitation and structure as the controlling parameter, this study selects either the damping ratio or the stiffness ratio as the controlling parameter. An important finding is that chaotic motions may occur at high damping situations even when periodic motions are found at identical low damping systems.